In mathematics, the Gershgorin circle theorem may be used to bound the spectrum of a square matrix. It was first published by the Soviet mathematician...

more widely used than Lagrange's. Both bounds result from the Gershgorin circle theorem applied to the companion matrix of the polynomial and its transpose...

Engineering Institute in the same year. His contributions include the Gershgorin circle theorem. He designed a device for constructing ellipses, a copy of which...

theorem Gershgorin circle theorem Clifford's circle theorems Descartes' theorem also known as 'kissing circles' or 'Soddy circles' theorem List of circle topics...

following results can be proved trivially from Gershgorin's circle theorem. Gershgorin's circle theorem itself has a very short proof. A strictly diagonally...

_{i}\sum _{j}|a_{ij}|} . This is an immediate corollary of the Gershgorin circle theorem. However another proof is more direct: Any matrix induced norm...

Gamas's Theorem (multilinear algebra) Gershgorin circle theorem (matrix theory) Inverse eigenvalues theorem (linear algebra) Perron–Frobenius theorem (matrix...

wikibooks:Numerical calculations and rigorous mathematics Kantorovich theorem Gershgorin circle theorem Ulrich W. Kulisch Tucker, Warwick. (1999). "The Lorenz attractor...

that the spectral radius of any stochastic matrix is one. By the Gershgorin circle theorem, all of the eigenvalues of a stochastic matrix have absolute values...

\dots ,w_{n}\right).} From the transposed matrix case of the Gershgorin circle theorem it follows that all eigenvalues of A, that is, all roots of ƒ(X)...

{\displaystyle \langle e\rangle =\{\lambda e:\lambda \in F\}.} The Gershgorin circle theorem shows that the moduli of the eigenvalues of a hollow matrix are...

circle problem – How many integer lattice points there are in a circle Gershgorin circle theorem – Bound on eigenvalues Geometrography – Study of geometrical...

impractical to require exact zeros,[citation needed] but the Gershgorin circle theorem provides a bound on the error. If the matrices converge, then...

M {\displaystyle m\leq \operatorname {Re} (\lambda )\leq M} . Gershgorin circle theorem Bendixson, Ivar (1902). "Sur les racines d'une équation fondamentale"...

Mathematics winner Semyon Aranovich Gershgorin, of Gerschgorin circle theorem fame Sergei Godunov, developed Godunov's theorem and Godunov's scheme in differential...

determinants of diagonally dominant matrices, and variants of the Gershgorin circle theorem for bounding the locations of the eigenvalues of matrices. Her...

A. Gershgorin described geometric bounds on the eigenvectors in terms of the matrix elements. This result known as the Gershgorin circle theorem has...

Steele Prize (2005) Alexander Gelfond (1906–1968), number theory Semyon Gershgorin (1901–1933), mathematician Gersonides (1288–1344), mathematician Murray...